Nice piecing. :-)
I'd test the fabric at this point before deciding what to do.
If you have leftover red pieces, lay them onto white fabric (or even a white napkin or dishtowel) and stitch them down, almost a darning stitch. Just haphazard stitching to anchor the patches.
Cut the sewn thing in half. Wash one of the halves. Let the washed one sit a bit after the spin cycle. Check not only to see if it bled in the wash, but if it bled afterward. Some fabric dyes disperse in the wash water while others later trail out along the thread lines onto adjoining fabric. Some bleeding occurs when wet fabric sits. Eventually toss the washed half into the dryer and then compare it to the other half.
The fabric may surprise you and be alright.
Anita
Edit: When I read and replied to your msg, I didn't see the other replies, including Prism's advice. Anita